κ-疯狂和可定义性

Pub Date : 2022-06-21 DOI:10.1002/malq.202100074

Haim Horowitz, Saharon Shelah

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引用次数: 0

摘要

假设存在一个超紧基数，我们构造了一个模型，其中对于一些不可数正则基数κ，不存在Σ 11 (κ) $\Sigma ^1_1(\kappa )$ κ-mad家族。

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κ-Madness and definability

Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal κ, there are no $Σ_{1}^{1} (κ)$ κ-mad families.

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